Sharp inequalities involving the Ricci curvature for Riemannian submersions

Gülbahar, M.Eken Meriç, S.Kiliç, E.2024-12-242024-12-2420171450-9628https://doi.org10.5937/KgJMath1702279Ghttps://hdl.handle.net/20.500.12604/3914In this paper, we obtain sharp inequalities on Riemannian manifolds admitting a Riemannian submersion and give some characterizations using these inequalities. We improve Chen-Ricci inequality for Riemannian submersion and present some examples which satisfy this inequality.eninfo:eu-repo/semantics/openAccessChen-Ricci inequalityRiemannian manifoldRiemannian submersionSharp inequalities involving the Ricci curvature for Riemannian submersionsArticle412279293Q12-s2.0-8503784558910.5937/KgJMath1702279G